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Finding the Fourth Proportional to 660.14, 910.82 and 394.65

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Solution

The fourth proportional to 660.14, 910.82 and 394.65 is: 544.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.14 : 910.82 = 394.65 : x
  2. Step 2: Convert to fraction form
    660.14/910.82 = 394.65/x
  3. Step 3: Cross multiply
    660.14x = 910.82 × 394.65
  4. Step 4: Simplify right side
    660.14x = 359,453.14
  5. Step 5: Solve for x
    x = 359,453.14/660.14
  6. Step 6: Final answer
    x = 544.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.